Yes. Just as the LAD prohibits an employer from discriminating against protected groups in the workplace, it also prohibits employers from creating hostile work environments. If you believe your employer, supervisor or coworker is harassing you because of your LGBTQ+ status, and it is severe or pervasive, they are likely violating the LAD and you should report the conduct immediately.
Employers have an obligation to take all complaints seriously and to remediate all forms of harassment and discrimination. Responsible employers should also have a skilled, neutral investigator conduct a thorough investigation as soon as a complaint is lodged.